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Simplifying 76 + 5y + -34 = 17y + -14 + -4y Reorder the terms: 76 + -34 + 5y = 17y + -14 + -4y Combine like terms: 76 + -34 = 42 42 + 5y = 17y + -14 + -4y Reorder the terms: 42 + 5y = -14 + 17y + -4y Combine like terms: 17y + -4y = 13y 42 + 5y = -14 + 13y Solving 42 + 5y = -14 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 42 + 5y + -13y = -14 + 13y + -13y Combine like terms: 5y + -13y = -8y 42 + -8y = -14 + 13y + -13y Combine like terms: 13y + -13y = 0 42 + -8y = -14 + 0 42 + -8y = -14 Add '-42' to each side of the equation. 42 + -42 + -8y = -14 + -42 Combine like terms: 42 + -42 = 0 0 + -8y = -14 + -42 -8y = -14 + -42 Combine like terms: -14 + -42 = -56 -8y = -56 Divide each side by '-8'. y = 7 Simplifying y = 7
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